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Mathematics

Coordinate-Geometry

Easy

Question

If $P left parenthesis 1 comma 0 right parenthesis text and end text Q left parenthesis negative 1 comma 0 right parenthesis text and end text R left parenthesis 2 comma 0 right parenthesis$ are three given pints. The point S satisfies the relation $S Q squared plus S R squared equals 2 S P squared$ .The locus of S meets PQ at the point

(0,0)
(2/3,0)
(-3/2,0)
(0,-2/3)

The correct answer is: (-3/2,0)

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